Existence and approximation of fixed points of multivalued generalized α-nonexpansive mappings in Banach spaces

We introduce multivalued generalized alpha-nonexpansive mappings and present a fixed point result. The multivalued version of the iteration process (Piri et al., Numerical Algorithms, 1-20, 2018) is proposed and some weak and strong convergence results in uniformly convex Banach space are established. Further, we also study the stability of the modified iteration process. Finally, we compare the rate of convergence of suggested multivalued version of iteration process with several known iteration processes through a numerical example.